What is the Least Common Multiple of 35765 and 35781?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 35765 and 35781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35765 and 35781, than apply into the LCM equation.

GCF(35765,35781) = 1
LCM(35765,35781) = ( 35765 × 35781) / 1
LCM(35765,35781) = 1279707465 / 1
LCM(35765,35781) = 1279707465

Least Common Multiple (LCM) of 35765 and 35781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35765 and 35781. First we will calculate the prime factors of 35765 and 35781.

Prime Factorization of 35765

Prime Factorization of 35781

Now multiplying the highest exponent prime factors to calculate the LCM of 35765 and 35781.

LCM(35765,35781) = 5¹ × 23¹ × 311¹ × 3¹ × 11927¹
LCM(35765,35781) = 1279707465